Answer:
x = 80
y = 160
Explanation:
The sum of all arc measures that make up a circle is 360°. Therefore:




Tangent and Intersected Chord Theorem
If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one-half the measure of its intercepted arc.
Therefore, according to the Tangent and Intersected Chord Theorem, the measure of angle x is equal to half of the measure of arc y:





Circle Theorem vocabulary
- Chord: A straight line joining two points on the circle.
- Tangent: A straight line that touches a circle at only one point.
- Arc: the curve between two points on the circumference of a circle
- Intercepted arc: The curve between the points where two chords or line segments intercept the circumference of a circle.